I have been assigned a task that I have found to be very difficult - to try and develop an alaytical (mathematical) expression for the output voltage with respect to time of the cockroft-walton voltage doubler shown below (so that I can plot the transient response), when the input voltage is a sinusoidal source. I was wondering if anybody would know how this could be done, or if such a expression has already been developed. The problem is that the diodes continually switch and charge the caps, but I cannot assume that the caps (C1) would charge to the peak input voltage in one cycle.(adsbygoogle = window.adsbygoogle || []).push({});

Similarly with the rectifier circuit below (assume the resistor is replaced by a capacitor), how would I develop a mathematical expression for the output voltage if you cannot assume that the cap voltage reaches the peak input voltage in one cycle? Would I somehow have to find the points at which the diode switches, and continually calculate the voltage on the cap as it gains voltage over several cycles of the input voltage? I appreciate any help.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Multiplier circuit - analytical expression

**Physics Forums | Science Articles, Homework Help, Discussion**